Question
A bijection involving one-parameter families of strongly continuous functions with this property is given by Stone’s theorem. The existence of a projective representation of the Poincaré group with this property is one of the Wightman axioms. This is the shorter-named of two properties that an operator can have to be compatible with a symmetry transformation on a Hilbert space by Wigner’s theorem. This property is held by operators of the form (*) e to the negative “i times t over h-bar times a Hamiltonian”, such as a state’s time-evolution operator. Quantum gates can be represented by matrices with this property, which is the complex-valued equivalent of orthogonality. Matrices with this property preserve inner products and satisfy the equation “M*M (“M-star M”) equals the identity.” For 10 points, name this property of matrices in the group U(n) ■END■
Summary
2024 ESPN @ Stanford | 03/09/2024 | N | 2 | 100% | 50% | 0% | 45.00 |
2024 ESPN @ Chicago | 03/23/2024 | Y | 5 | 40% | 0% | 60% | 86.50 |
2024 ESPN @ Columbia | 03/23/2024 | Y | 7 | 71% | 0% | 29% | 86.20 |
2024 ESPN @ Duke | 03/23/2024 | Y | 2 | 100% | 50% | 0% | 60.50 |
2024 ESPN @ Cambridge | 04/06/2024 | Y | 2 | 100% | 0% | 0% | 90.50 |
2024 ESPN @ Brown | 04/06/2024 | Y | 3 | 100% | 0% | 0% | 103.00 |
2024 ESPN @ Online | 06/01/2024 | Y | 4 | 75% | 0% | 50% | 107.33 |
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Vincent Du | UNC A | UNC B | 21 | 15 |
Iain Carpenter | Sandmännchen im Helikopter | 1.g4 Test Mixture | 74 | 10 |
Kevin Wang | Triple Round Robin Lovers | Clark B | 78 | 10 |
Forrest Weintraub | The Aum-Wein Drinchard by Amogh Tutuola | bruh | 79 | 10 |
Eleanor Settle | World's Fair Wiggle Walk | Houston Junior College | 82 | 10 |
Eylon Caplan | malcolm in the middlemarch (Purdue 1) | Oh the Missouri | 83 | 10 |
Delia Cropper | Heat-Oppressed Brains | Eugene o'Negging | 86 | 10 |
Jerry Vinukurov | mnemonists | Naocissus and Geoldmond by Hermandrew Hesse | 87 | 10 |
Billy Busse | BHSU | Noli Me Tangerine | 90 | 10 |
Karthik Prasad | chamPAIN and cornHELL in Columbia | NJ TRANSit (and bobby i guess) | 93 | 10 |
Alex Gunasekera | You, Me and the Big G | A VK a Day Keeps the Doctor Away | 95 | 10 |
Max Neal | Jeffrey and Dahmers | Clark A | 98 | 10 |
Nathan Sheffield | boy's jitches (ft. DMA) | JJaryland | 98 | 10 |
Ali Hamzeh | Williams et al. | Tunks et al. | 98 | -5 |
Ivan Stanisavljevic | Duke | UNC Hunny | 100 | 10 |
Albert Zhang | Parden the Interruption | protobowling for soup | 102 | -5 |
Eric Mukherjee | Riley et al. | The Present King of James is Bald | 105 | -5 |
Anson Berns | JinAh and Jordan from Wikiquiz | Let's Fighting Love | 106 | -5 |
Shardul Parthasarathy | 2 days into college and I'm 3 lectures behind | purdoobie brothers | 107 | -5 |
David Bass | Cleo: 5/7 movie | Free-ish Agents | 107 | 10 |
Henry Cafaro | Chicago B | Michigan | 120 | -5 |
Keven Park | >:3 | Charlotte Mewing to get that chiseled farmer’s bride jawline | 125 | -5 |
Adam Silverman | Labour's Lost Lovers | Jason Lovers | 133 | 10 |
Yashwanth Bajji | Michigan | Chicago B | 133 | 0 |
Munir Siddiqui | Charlotte Mewing to get that chiseled farmer’s bride jawline | >:3 | 133 | 0 |
David Mathew | purdoobie brothers | 2 days into college and I'm 3 lectures behind | 133 | 0 |
Eshan Pant | Let's Fighting Love | JinAh and Jordan from Wikiquiz | 133 | 0 |
Michael Borecki | protobowling for soup | Parden the Interruption | 133 | 0 |
Conor Thompson | Tunks et al. | Williams et al. | 133 | 10 |